+0  
 
0
271
1
avatar

Given any positive even integer, x, the positive difference between the smallest odd number greater than 7x-2  and the largest odd number less than 3x+5 can be written in the form ax+b . What is a+b?

Guest Oct 8, 2017
 #1
avatar+27035 
+1

"Given any positive even integer, x, the positive difference between the smallest odd number greater than 7x-2  and the largest odd number less than 3x+5 can be written in the form ax+b . What is a+b?"

 

If x is even then 7x - 2 is even, so the smallest odd number greater than 7x - 2 is 7x - 2 + 1 or 7x - 1

 

With x even then 3x + 5 is odd, so the largets odd number less than 3x + 5 is 3x + 5 - 2 or 3x + 3

 

Difference:  7x - 1 - (3x + 3) = 4x - 4  

 

ax + b = 4x - 4  so a = 4, b = -4

 

a + b = 0.

Alan  Oct 8, 2017

25 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.